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POST UTME CALEB UNIVERSITY 2025 Physics | Objective

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Question 1 View Details

A 2.5 mH inductor is connected in series with a 10 Ω resistor and a 20 V AC source. If the frequency of the source is 50 Hz, calculate the impedance of the circuit.

A. 10 Ω

B. 20 Ω

Correct C. 30 Ω

D. 40 Ω

Correct Answer: C

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Question 2 View Details

A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. If the particle is subject to a centripetal force of 10 N, calculate the time period of the particle.

A. 2 s

B. 3 s

Correct C. 4 s

D. 5 s

Correct Answer: C

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Question 3 View Details

A radioactive sample has a half-life of 5 years. If the initial activity of the sample is 100 Bq, calculate the activity of the sample after 10 years.

A. 20 Bq

B. 30 Bq

C. 40 Bq

Correct D. 50 Bq

Correct Answer: D

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Question 4 View Details

A 5 kg block is moving on a frictionless surface with a velocity of 2 m/s. If a force of 10 N is applied to the block, calculate the acceleration of the block.

A. 1 m/s^2

Correct B. 2 m/s^2

C. 3 m/s^2

D. 4 m/s^2

Correct Answer: B

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Question 5 View Details

A 2 μF capacitor is connected in series with a 10 Ω resistor and a 20 V AC source. If the frequency of the source is 50 Hz, calculate the reac\tance of the capacitor.

A. 10 Ω

B. 20 Ω

Correct C. 30 Ω

D. 40 Ω

Correct Answer: C

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Question 6 View Details

A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. If the particle is subjected to a centripetal acceleration of 2 m/s^2, what is the force exerted on the particle?

A. 2 N

B. 4 N

Correct C. 6 N

D. 8 N

Correct Answer: C

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Question 7 View Details

A gas is contained in a cylinder of volume 0.5 m^3 at a pressure of 2 atm. If the temperature is increased by 10°C, what is the new pressure of the gas?

A. 2.2 atm

Correct B. 2.5 atm

C. 3.0 atm

D. 3.5 atm

Correct Answer: B

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Question 8 View Details

A simple harmonic motion has a maximum displacement of 2 m and a period of 4 s. What is the angular frequency of the motion?

A. 0.5 rad/s

Correct B. 1.0 rad/s

C. 1.5 rad/s

D. 2.0 rad/s

Correct Answer: B

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Question 9 View Details

A wave has a frequency of 20 Hz and a wavelength of 0.5 m. What is the speed of the wave?

A. 10 m/s

Correct B. 20 m/s

C. 30 m/s

D. 40 m/s

Correct Answer: B

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Question 10 View Details

A projectile is launched at an angle of 30° above the horizontal with an initial velocity of 20 m/s. What is the maximum height reached by the projectile?

A. 5 m

Correct B. 10 m

C. 15 m

D. 20 m

Correct Answer: B

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Question 11 View Details

A solid sphere of radius R is made of a material with Young's modulus Y. If a force F is applied \tangentially to the sphere's surface, the resulting displacement of the sphere's center is given by the equation \( Delta r = \frac{FR}{3pi Y} \). What is the percentage increase in the sphere's volume due to this displacement?

A. 1%

B. 3%

Correct C. 5%

D. 10%

Correct Answer: C

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Question 12 View Details

A light ray passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 13 View Details

A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. What is the magnitude of the force acting on the particle?

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 14 View Details

A heat engine operates between two temperatures 300 K and 600 K. If the efficiency of the engine is 30%, what is the work done by the engine per cycle?

A. 100 J

B. 200 J

Correct C. 300 J

D. 400 J

Correct Answer: C

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Question 15 View Details

A light source is placed 2 m away from a convex lens of focal length 0.5 m. If the object is moved 1 m closer to the lens, what is the new image dis\tance?

A. 1.5 m

Correct B. 2.5 m

C. 3.5 m

D. 4.5 m

Correct Answer: B

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Question 16 View Details

A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. If the particle is subjected to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?

A. 8 m/s^2

B. 12 m/s^2

Correct C. 16 m/s^2

D. 20 m/s^2

Correct Answer: C

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Question 17 View Details

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. If the wave is traveling in the positive x-direction, what is the direction of the particle velocity?

Correct A. in the positive x-direction

B. in the negative x-direction

C. perp\endicular to the x-axis

D. in the positive y-direction

Correct Answer: A

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Question 18 View Details

A heat engine operates between a temperature of 500 K and a temperature of 300 K. If the engine has an efficiency of 30%, what is the maximum possible work output?

A. 100 J

B. 200 J

Correct C. 400 J

D. 600 J

Correct Answer: C

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Question 19 View Details

A vector has a magnitude of 5 units and makes an angle of 60° with the x-axis. If the vector is rotated by 30° clockwise, what is the new angle with the x-axis?

Correct A. 30°

B. 45°

C. 60°

D. 75°

Correct Answer: A

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Question 20 View Details

A magnetic field has a magnitude of 2 T and is directed along the z-axis. If a current of 5 A is flowing in a wire, what is the magnitude of the magnetic force on the wire?

A. 5 N

Correct B. 10 N

C. 15 N

D. 20 N

Correct Answer: B

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Question 21 View Details

A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, determine the maximum velocity of the particle.

A. 1 m/s

B. 2 m/s

Correct C. 4 m/s

D. 8 m/s

Correct Answer: C

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Question 22 View Details

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the circuit is closed at t = 0, determine the current in the circuit at t = 2 s.

A. 0.6 A

Correct B. 1.2 A

C. 2.4 A

D. 4.8 A

Correct Answer: B

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Question 23 View Details

A parallel plate capacitor consists of two plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. If the capacitor is charged to a potential difference of 10 V, determine the capaci\tance of the capacitor.

Correct A. 8.85 x 10^-11 F

B. 8.85 x 10^-10 F

C. 8.85 x 10^-9 F

D. 8.85 x 10^-8 F

Correct Answer: A

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Question 24 View Details

A gas is contained in a cylinder of volume 0.1 m^3 at a pressure of 10^5 Pa. If the temperature of the gas is increased by 20 K, determine the new pressure of the gas.

Correct A. 9.09 x 10^4 Pa

B. 9.09 x 10^5 Pa

C. 9.09 x 10^6 Pa

D. 9.09 x 10^7 Pa

Correct Answer: A

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Question 25 View Details

A current of 2 A flows through a wire of resis\tance 10 Ω. If the current is increased to 5 A, determine the new power dissipated by the wire.

A. 125 W

Correct B. 250 W

C. 500 W

D. 1000 W

Correct Answer: B

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